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Journal of Applied Mathematics and Computing

Erschienen in:

04.09.2020 | Original Research

A novel approach for the solution of BVPs via Green’s function and fixed point iterative method

verfasst von: Faeem Ali, Javid Ali, Izhar Uddin

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2021

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Abstract

In the present paper, a new fixed point iterative method is introduced based on Green’s function and it’s successfully applied to approximate the solution of boundary value problems. A strong convergence result is proved for the integral operator by using the proposed method. It is also showed that the newly defined iterative method has a better rate of convergence than the Picard–Green’s, Mann–Green’s and Ishikawa–Green’s iterative methods. Some illustrative numerical examples are presented for the validity, applicability and high efficiency of the proposed iterative method. The results of this paper extend and generalize the corresponding results in the literature and particularly in Khuri and Louhichi (Appl Math Lett 82:50–57, 2018).

Vorheriger Artikel The locating number of hexagonal Möbius ladder network

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Titel: A novel approach for the solution of BVPs via Green’s function and fixed point iterative method
verfasst von: Faeem Ali
Javid Ali
Izhar Uddin
Publikationsdatum: 04.09.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2021
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01431-7

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